If a recipe requires 3 cups of mayonnaise for 20 sandwiches, how much is needed for 50 sandwiches?

To determine how much mayonnaise is needed for 50 sandwiches based on the given information, it is important to first establish the relationship between the amount of mayonnaise required and the number of sandwiches.

The original recipe calls for 3 cups of mayonnaise for 20 sandwiches. To find out how much mayonnaise is needed per sandwich, you can divide the total amount of mayonnaise by the number of sandwiches:

3 cups ÷ 20 sandwiches = 0.15 cups of mayonnaise per sandwich.

Now, for 50 sandwiches, multiply the amount of mayonnaise needed for one sandwich by the number of sandwiches:

0.15 cups/sandwich × 50 sandwiches = 7.5 cups of mayonnaise.

Thus, the correct answer is 7.5 cups, which corresponds to the response indicating that this is the amount required for 50 sandwiches. This calculation uses a proportional approach, where the known ingredient amount is scaled up in relation to the increase in the number of sandwiches needed.